Semantic Scholar Open Access 2014 2 sitasi

Gaussian maps and generic vanishing I: subvarieties of abelian varieties

G. Pareschi

Abstrak

We present an approach to Green-Lazarsfeld's generic vanishing combining gaussian maps and the Fourier-Mukai transform associated to the Poincar\`e line bundle. As an application we prove the Generic Vanishing Theorem for all normal Cohen-Macaulay subvarieties of abelian varieties over an algebraically closed field. This paper is a reworking of part of arXiv:math/0310026v2 [math.AG], which contained a mistake.

Topik & Kata Kunci

Penulis (1)

G

G. Pareschi

Format Sitasi

Pareschi, G. (2014). Gaussian maps and generic vanishing I: subvarieties of abelian varieties. https://doi.org/10.1017/cbo9781107416000.019

Akses Cepat

Informasi Jurnal
Tahun Terbit
2014
Bahasa
en
Total Sitasi
Sumber Database
Semantic Scholar
DOI
10.1017/cbo9781107416000.019
Akses
Open Access ✓