id sid tid token lemma pos 3j33320104h 1 1 a a DET 3j33320104h 1 2 complex complex ADJ 3j33320104h 1 3 algebraic algebraic ADJ 3j33320104h 1 4 variety variety NOUN 3j33320104h 1 5 is be AUX 3j33320104h 1 6 said say VERB 3j33320104h 1 7 to to PART 3j33320104h 1 8 be be AUX 3j33320104h 1 9 ( ( PUNCT 3j33320104h 1 10 brody brody NOUN 3j33320104h 1 11 ) ) PUNCT 3j33320104h 1 12 hyperbolic hyperbolic NOUN 3j33320104h 1 13 if if SCONJ 3j33320104h 1 14 it it PRON 3j33320104h 1 15 does do AUX 3j33320104h 1 16 not not PART 3j33320104h 1 17 admit admit VERB 3j33320104h 1 18 any any DET 3j33320104h 1 19 non non ADJ 3j33320104h 1 20 - - ADJ 3j33320104h 1 21 constant constant ADJ 3j33320104h 1 22 holomorphic holomorphic ADJ 3j33320104h 1 23 maps map NOUN 3j33320104h 1 24 from from ADP 3j33320104h 1 25 the the DET 3j33320104h 1 26 complex complex ADJ 3j33320104h 1 27 line line NOUN 3j33320104h 1 28 , , PUNCT 3j33320104h 1 29 which which PRON 3j33320104h 1 30 are be AUX 3j33320104h 1 31 called call VERB 3j33320104h 1 32 entire entire ADJ 3j33320104h 1 33 curves curve NOUN 3j33320104h 1 34 . . PUNCT 3j33320104h 2 1 conjectures conjecture NOUN 3j33320104h 2 2 by by ADP 3j33320104h 2 3 kobayashi kobayashi PROPN 3j33320104h 2 4 , , PUNCT 3j33320104h 2 5 green green PROPN 3j33320104h 2 6 , , PUNCT 3j33320104h 2 7 griffiths griffiths PROPN 3j33320104h 2 8 , , PUNCT 3j33320104h 2 9 lang lang PROPN 3j33320104h 2 10 , , PUNCT 3j33320104h 2 11 and and CCONJ 3j33320104h 2 12 others other NOUN 3j33320104h 2 13 predict predict VERB 3j33320104h 2 14 that that SCONJ 3j33320104h 2 15 the the DET 3j33320104h 2 16 hyperbolicity hyperbolicity NOUN 3j33320104h 2 17 of of ADP 3j33320104h 2 18 a a DET 3j33320104h 2 19 variety variety NOUN 3j33320104h 2 20 is be AUX 3j33320104h 2 21 controlled control VERB 3j33320104h 2 22 by by ADP 3j33320104h 2 23 the the DET 3j33320104h 2 24 positivity positivity NOUN 3j33320104h 2 25 of of ADP 3j33320104h 2 26 its its PRON 3j33320104h 2 27 canonical canonical ADJ 3j33320104h 2 28 bundle bundle NOUN 3j33320104h 2 29 . . PUNCT 3j33320104h 3 1 more more ADV 3j33320104h 3 2 precisely precisely ADV 3j33320104h 3 3 , , PUNCT 3j33320104h 3 4 this this DET 3j33320104h 3 5 circle circle NOUN 3j33320104h 3 6 of of ADP 3j33320104h 3 7 conjectures conjecture NOUN 3j33320104h 3 8 predicts predict VERB 3j33320104h 3 9 that that SCONJ 3j33320104h 3 10 a a DET 3j33320104h 3 11 variety variety NOUN 3j33320104h 3 12 of of ADP 3j33320104h 3 13 general general ADJ 3j33320104h 3 14 type type NOUN 3j33320104h 3 15 is be AUX 3j33320104h 3 16 hyperbolic hyperbolic ADJ 3j33320104h 3 17 outside outside ADV 3j33320104h 3 18 of of ADP 3j33320104h 3 19 a a DET 3j33320104h 3 20 proper proper ADJ 3j33320104h 3 21 subvariety subvariety NOUN 3j33320104h 3 22 called call VERB 3j33320104h 3 23 an an DET 3j33320104h 3 24 exceptional exceptional ADJ 3j33320104h 3 25 locus locus NOUN 3j33320104h 3 26 , , PUNCT 3j33320104h 3 27 which which PRON 3j33320104h 3 28 may may AUX 3j33320104h 3 29 be be AUX 3j33320104h 3 30 empty empty ADJ 3j33320104h 3 31 if if SCONJ 3j33320104h 3 32 its its PRON 3j33320104h 3 33 canonical canonical ADJ 3j33320104h 3 34 bundle bundle NOUN 3j33320104h 3 35 has have VERB 3j33320104h 3 36 enough enough ADJ 3j33320104h 3 37 positivity positivity NOUN 3j33320104h 3 38 . . PUNCT 3j33320104h 4 1 in in ADP 3j33320104h 4 2 this this DET 3j33320104h 4 3 dissertation dissertation NOUN 3j33320104h 4 4 , , PUNCT 3j33320104h 4 5 we we PRON 3j33320104h 4 6 make make VERB 3j33320104h 4 7 several several ADJ 3j33320104h 4 8 advances advance NOUN 3j33320104h 4 9 to to ADP 3j33320104h 4 10 the the DET 3j33320104h 4 11 study study NOUN 3j33320104h 4 12 of of ADP 3j33320104h 4 13 these these DET 3j33320104h 4 14 conjectures conjecture NOUN 3j33320104h 4 15 with with ADP 3j33320104h 4 16 respect respect NOUN 3j33320104h 4 17 to to ADP 3j33320104h 4 18 the the DET 3j33320104h 4 19 notion notion NOUN 3j33320104h 4 20 of of ADP 3j33320104h 4 21 algebraic algebraic ADJ 3j33320104h 4 22 hyperbolicity hyperbolicity NOUN 3j33320104h 4 23 as as SCONJ 3j33320104h 4 24 defined define VERB 3j33320104h 4 25 by by ADP 3j33320104h 4 26 demailly demailly ADV 3j33320104h 4 27 . . PUNCT 3j33320104h 5 1 we we PRON 3j33320104h 5 2 obtain obtain VERB 3j33320104h 5 3 a a DET 3j33320104h 5 4 complete complete ADJ 3j33320104h 5 5 classification classification NOUN 3j33320104h 5 6 of of ADP 3j33320104h 5 7 very very ADV 3j33320104h 5 8 general general ADJ 3j33320104h 5 9 hypersurfaces hypersurface NOUN 3j33320104h 5 10 in in ADP 3j33320104h 5 11 pm pm NOUN 3j33320104h 5 12 x x PUNCT 3j33320104h 5 13 pn pn PROPN 3j33320104h 5 14 by by ADP 3j33320104h 5 15 their their PRON 3j33320104h 5 16 bidegrees bidegree NOUN 3j33320104h 5 17 , , PUNCT 3j33320104h 5 18 except except SCONJ 3j33320104h 5 19 in in ADP 3j33320104h 5 20 the the DET 3j33320104h 5 21 case case NOUN 3j33320104h 5 22 of of ADP 3j33320104h 5 23 threefolds threefold NOUN 3j33320104h 5 24 in in ADP 3j33320104h 5 25 p3 p3 PROPN 3j33320104h 5 26 x x PROPN 3j33320104h 5 27 p1 p1 PROPN 3j33320104h 5 28 . . PUNCT 3j33320104h 6 1 we we PRON 3j33320104h 6 2 present present VERB 3j33320104h 6 3 three three NUM 3j33320104h 6 4 techniques technique NOUN 3j33320104h 6 5 to to PART 3j33320104h 6 6 do do VERB 3j33320104h 6 7 so so ADV 3j33320104h 6 8 , , PUNCT 3j33320104h 6 9 which which PRON 3j33320104h 6 10 build build VERB 3j33320104h 6 11 on on ADP 3j33320104h 6 12 past past ADJ 3j33320104h 6 13 work work NOUN 3j33320104h 6 14 by by ADP 3j33320104h 6 15 ein ein PROPN 3j33320104h 6 16 , , PUNCT 3j33320104h 6 17 voisin voisin PROPN 3j33320104h 6 18 , , PUNCT 3j33320104h 6 19 pacienza pacienza PROPN 3j33320104h 6 20 , , PUNCT 3j33320104h 6 21 coskun coskun PROPN 3j33320104h 6 22 , , PUNCT 3j33320104h 6 23 riedl riedl PROPN 3j33320104h 6 24 , , PUNCT 3j33320104h 6 25 and and CCONJ 3j33320104h 6 26 others other NOUN 3j33320104h 6 27 . . PUNCT 3j33320104h 7 1 as as ADP 3j33320104h 7 2 another another DET 3j33320104h 7 3 application application NOUN 3j33320104h 7 4 of of ADP 3j33320104h 7 5 these these DET 3j33320104h 7 6 techniques technique NOUN 3j33320104h 7 7 , , PUNCT 3j33320104h 7 8 we we PRON 3j33320104h 7 9 solve solve VERB 3j33320104h 7 10 the the DET 3j33320104h 7 11 penultimate penultimate ADJ 3j33320104h 7 12 case case NOUN 3j33320104h 7 13 of of ADP 3j33320104h 7 14 degree degree NOUN 3j33320104h 7 15 8 8 NUM 3j33320104h 7 16 fourfolds fourfold NOUN 3j33320104h 7 17 in in ADP 3j33320104h 7 18 the the DET 3j33320104h 7 19 widely widely ADV 3j33320104h 7 20 - - PUNCT 3j33320104h 7 21 studied study VERB 3j33320104h 7 22 question question NOUN 3j33320104h 7 23 of of ADP 3j33320104h 7 24 the the DET 3j33320104h 7 25 algebraic algebraic ADJ 3j33320104h 7 26 hyperbolicity hyperbolicity NOUN 3j33320104h 7 27 of of ADP 3j33320104h 7 28 very very ADV 3j33320104h 7 29 general general ADJ 3j33320104h 7 30 hypersurfaces hypersurface NOUN 3j33320104h 7 31 in in ADP 3j33320104h 7 32 pn pn PROPN 3j33320104h 7 33 , , PUNCT 3j33320104h 7 34 leaving leave VERB 3j33320104h 7 35 sextic sextic ADJ 3j33320104h 7 36 threefolds threefold NOUN 3j33320104h 7 37 as as ADP 3j33320104h 7 38 the the DET 3j33320104h 7 39 only only ADJ 3j33320104h 7 40 open open ADJ 3j33320104h 7 41 case case NOUN 3j33320104h 7 42 . . PUNCT 3j33320104h 8 1 in in ADP 3j33320104h 8 2 a a DET 3j33320104h 8 3 collaboration collaboration NOUN 3j33320104h 8 4 with with ADP 3j33320104h 8 5 x. x. PROPN 3j33320104h 8 6 chen chen PROPN 3j33320104h 8 7 and and CCONJ 3j33320104h 8 8 e. e. PROPN 3j33320104h 8 9 riedl riedl PROPN 3j33320104h 8 10 , , PUNCT 3j33320104h 8 11 we we PRON 3j33320104h 8 12 develop develop VERB 3j33320104h 8 13 some some PRON 3j33320104h 8 14 of of ADP 3j33320104h 8 15 the the DET 3j33320104h 8 16 above above ADJ 3j33320104h 8 17 techniques technique NOUN 3j33320104h 8 18 to to ADP 3j33320104h 8 19 the the DET 3j33320104h 8 20 setting setting NOUN 3j33320104h 8 21 of of ADP 3j33320104h 8 22 quasi quasi ADJ 3j33320104h 8 23 - - ADJ 3j33320104h 8 24 projective projective ADJ 3j33320104h 8 25 varieties variety NOUN 3j33320104h 8 26 . . PUNCT 3j33320104h 9 1 we we PRON 3j33320104h 9 2 prove prove VERB 3j33320104h 9 3 that that SCONJ 3j33320104h 9 4 curves curve NOUN 3j33320104h 9 5 in in ADP 3j33320104h 9 6 the the DET 3j33320104h 9 7 complement complement NOUN 3j33320104h 9 8 of of ADP 3j33320104h 9 9 a a DET 3j33320104h 9 10 very very ADV 3j33320104h 9 11 general general ADJ 3j33320104h 9 12 hypersurface hypersurface NOUN 3j33320104h 9 13 in in ADP 3j33320104h 9 14 pn pn PROPN 3j33320104h 9 15 of of ADP 3j33320104h 9 16 degree degree NOUN 3j33320104h 9 17 2n 2n PROPN 3j33320104h 9 18 that that PRON 3j33320104h 9 19 may may AUX 3j33320104h 9 20 possibly possibly ADV 3j33320104h 9 21 violate violate VERB 3j33320104h 9 22 algebraic algebraic ADJ 3j33320104h 9 23 hyperbolicity hyperbolicity NOUN 3j33320104h 9 24 lift lift NOUN 3j33320104h 9 25 to to ADP 3j33320104h 9 26 the the DET 3j33320104h 9 27 universal universal ADJ 3j33320104h 9 28 line line NOUN 3j33320104h 9 29 via via ADP 3j33320104h 9 30 the the DET 3j33320104h 9 31 associated associated ADJ 3j33320104h 9 32 line line NOUN 3j33320104h 9 33 map map NOUN 3j33320104h 9 34 . . PUNCT 3j33320104h 10 1 assuming assume VERB 3j33320104h 10 2 an an DET 3j33320104h 10 3 additional additional ADJ 3j33320104h 10 4 hypothesis hypothesis NOUN 3j33320104h 10 5 on on ADP 3j33320104h 10 6 the the DET 3j33320104h 10 7 associated associated ADJ 3j33320104h 10 8 line line NOUN 3j33320104h 10 9 map map NOUN 3j33320104h 10 10 , , PUNCT 3j33320104h 10 11 we we PRON 3j33320104h 10 12 show show VERB 3j33320104h 10 13 that that SCONJ 3j33320104h 10 14 algebraic algebraic ADJ 3j33320104h 10 15 hyperbolicity hyperbolicity NOUN 3j33320104h 10 16 holds hold VERB 3j33320104h 10 17 for for ADP 3j33320104h 10 18 such such ADJ 3j33320104h 10 19 varieties variety NOUN 3j33320104h 10 20 outside outside ADP 3j33320104h 10 21 of of ADP 3j33320104h 10 22 a a DET 3j33320104h 10 23 proper proper ADJ 3j33320104h 10 24 exceptional exceptional ADJ 3j33320104h 10 25 locus locus NOUN 3j33320104h 10 26 when when SCONJ 3j33320104h 10 27 n n ADV 3j33320104h 10 28 is be AUX 3j33320104h 10 29 at at ADV 3j33320104h 10 30 least least ADJ 3j33320104h 10 31 2 2 NUM 3j33320104h 10 32 . . PUNCT 3j33320104h 11 1 moreover moreover ADV 3j33320104h 11 2 , , PUNCT 3j33320104h 11 3 for for ADP 3j33320104h 11 4 the the DET 3j33320104h 11 5 complement complement NOUN 3j33320104h 11 6 of of ADP 3j33320104h 11 7 a a DET 3j33320104h 11 8 very very ADV 3j33320104h 11 9 general general ADJ 3j33320104h 11 10 quartic quartic ADJ 3j33320104h 11 11 plane plane NOUN 3j33320104h 11 12 curve curve NOUN 3j33320104h 11 13 , , PUNCT 3j33320104h 11 14 we we PRON 3j33320104h 11 15 show show VERB 3j33320104h 11 16 that that SCONJ 3j33320104h 11 17 the the DET 3j33320104h 11 18 exceptional exceptional ADJ 3j33320104h 11 19 locus locus NOUN 3j33320104h 11 20 is be AUX 3j33320104h 11 21 precisely precisely ADV 3j33320104h 11 22 the the DET 3j33320104h 11 23 union union NOUN 3j33320104h 11 24 of of ADP 3j33320104h 11 25 the the DET 3j33320104h 11 26 bitangent bitangent NOUN 3j33320104h 11 27 and and CCONJ 3j33320104h 11 28 flex flex ADJ 3j33320104h 11 29 lines line NOUN 3j33320104h 11 30 to to ADP 3j33320104h 11 31 the the DET 3j33320104h 11 32 curve curve NOUN 3j33320104h 11 33 , , PUNCT 3j33320104h 11 34 given give VERB 3j33320104h 11 35 this this DET 3j33320104h 11 36 additional additional ADJ 3j33320104h 11 37 hypothesis hypothesis NOUN 3j33320104h 11 38 . . PUNCT