Search arXiv⌕ Search

arXiv · 0707.1852

The topology of terminal quartic 3-folds

Abstract

In this thesis, I determine a bound on the defect of terminal Gorenstein quartic 3-folds. More generally, I study the defect of terminal Gorenstein Fano 3-folds of Picard rank 1 and genus at least 3. I state a geometric "motivation" of non Q-factoriality in the case of quartics.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Anne-Sophie Kaloghiros. 2007-07-12. The topology of terminal quartic 3-folds. https://arxiv.org/abs/0707.1852

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Ax-Schanuel with derivatives for mixed period mappings

We prove the Ax-Schanuel property of the derivatives of mixed period mappings. We also prove the jet space reformulation of this result. The proofs use the Ax-Schanuel result for principal bundles with flat connections obtained by Blázquez-Sanz, Casale, Freitag, and Nagloo.

math.AG↗