Degeneration of Fermat hypersurfaces in positive characteristic
Thanh Hoai Hoang
TL;DR
This paper studies the degeneration of Fermat hypersurfaces over fields of positive characteristic, classifying their projective isomorphism classes and exploring their geometric properties.
Contribution
It provides a classification of degenerated Fermat hypersurfaces in positive characteristic and analyzes their projective isomorphism classes.
Findings
Classification of degenerated Fermat hypersurfaces
Determination of their projective isomorphism classes
Insights into their geometric structure
Abstract
We investigate the hypersurfaces which are the generation of the Fermat hypersufaces, and determine their projective isomorphism classes.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometric and Algebraic Topology