Relations between some invariants of algebraic varieties in positive characteristic
Gerard van der Geer, Toshiyuki Katsura
TL;DR
This paper explores the relationships between various invariants of algebraic varieties in positive characteristic, such as the a-number and the height of the Artin-Mazur formal group, including explicit calculations for Fermat surfaces.
Contribution
It establishes new connections between invariants like the a-number and formal group height, with explicit computations for specific surfaces.
Findings
Relations between invariants are clarified.
Explicit a-number calculations for Fermat surfaces.
Insights into the structure of algebraic varieties in positive characteristic.
Abstract
We discuss relations between certain invariants of varieties in positive characteristic, like the a-number and the height of the Artin-Mazur formal group. We calculate the a-number for Fermat surfaces
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Homotopy and Cohomology in Algebraic Topology