Semantic Scholar Open Access 2000 13 sitasi

A new method in Fano geometry

Z. Ran H. Clemens

Abstrak

We give some bounds on the anticanonical degrees of Fano varieties with Picard number 1 and mild singularities, extending results of Koll\'ar et al. from the early 90's and improving them even in the smooth case. The proof is based on a study of positivity properties of sheaves of differential operators on ample line bundles, and avoids the use of rational curves and bend-and-break. This note is a self-contained exposition of the main ideas of math.AG/9811022

Topik & Kata Kunci

Mathematics

Penulis (2)

Z. Ran

H. Clemens

Format Sitasi

APA MLA BibTeX

Ran, Z., Clemens, H. (2000). A new method in Fano geometry. https://doi.org/10.1155/S1073792800000295

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Informasi Jurnal

Tahun Terbit: 2000
Bahasa: en
Total Sitasi: 13×
Sumber Database: Semantic Scholar
DOI: 10.1155/S1073792800000295
Akses: Open Access ✓