Infinitesimal Torelli Theorem for regular surfaces with very ample canonical divisor

Igor Reider

Infinitesimal Torelli Theorem for regular surfaces with very ample canonical divisor

Algebraic Geometry 2018-03-06 v4

Authors: Igor Reider

Abstract

The article proves the Infinitesimal Torelli theorem for surfaces subject to the following conditions: 1) the canonical bundle of a surface is ample and generated by its global sections, 2)the geometric genus $p_g \geq 4$ , 3) the irregularity $q=0$ . The main novelty is a realization of the Kodaira-Spencer classes lying in the kernel of the cohomology cup-product controlling the derivative of the period map of weight 2 in the category of the coherent sheaves of a surface.

Keywords

del pezzo surfaces algebraic varieties vector bundles and cohomology

Cite

@article{arxiv.1402.0192,
  title  = {Infinitesimal Torelli Theorem for regular surfaces with very ample canonical divisor},
  author = {Igor Reider},
  journal= {arXiv preprint arXiv:1402.0192},
  year   = {2018}
}

Comments

there are several false arguments in the paper

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