A FAMILY OF SURFACES CONSTRUCTED FROM GENUS 2 CURVES-Reference-Cited by-同舟云学术

A FAMILY OF SURFACES CONSTRUCTED FROM GENUS 2 CURVES

Published:2007-05 Issue:05 Volume:18 Page:585-612
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

SCHOEN CHAD¹

Affiliation:

1. Mathematics Department, Duke University, Box 90320, Durham, NC 27708-0320, USA

Abstract

We consider the deformations of the two-dimensional complex analytic variety constructed from a genus 2 Riemann surface by attaching its self-product to its Jacobian in an elementary way. The deformations are shown to be unobstructed, the variety smooths to give complex projective manifolds whose invariants are computed and whose images under Albanese maps (re)verify an instance of the Hodge conjecture for certain abelian fourfolds.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X07004175

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