Abel-Jacobi Isogenies for Certain Types of Fano Threefolds |
Contents
ACKNOWLEDGEMENTS | 6 |
Remarks and conventions | 12 |
INFINITESIMAL ABELJACOBI MAPPINGS | 20 |
7 other sections not shown
Common terms and phrases
2-plane Abel-Jacobi map Alb F Albanese variety algebraic bitangents bundle cohomology cohomology sequence commutative diagram component conic consider containing cubic threefold curve DL defined degenerate denotes dimension divisor variety double cover double point double solid equations equivalent étale exact sequence fact Fano surface Fano varieties fibre Flim gotten halves hence hyperflex infinitesimal intermediate Jacobian inverse image irreducible isogeny isomorphism latter LEMMA linear system lines locus lying Math meeting morphism natural map notations NS¹ F NY/W pairs parametrized pencil principally polarized projection proof PROPOSITION Prym variety quadrics quartic REMARK resp singular smooth cubic smooth curve subset subvariety sufficiently surface F surface of divisors surjective tangent Theorem theta characteristic theta divisor three quadrics twisted cubic vanishing vector space yields zero zijn