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arxiv: 1311.6181 · v2 · pith:7PT6ONLPnew · submitted 2013-11-24 · 🧮 math.AG

Convex separably rationally connected complete intersections

Katsuhisa Furukawa This is my paper
classification 🧮 math.AG
keywords arbitrarycharacteristiccompleteconnectedconvexrationallyseparablyalgebraically
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We give a generalization of a result of R. Pandharipande to arbitrary characteristic: We prove that, if $X$ is a convex, separably rationally connected, smooth complete intersection in $\mathbb{P}^N$ over an algebraically closed field of arbitrary characteristic, then $X$ is rational homogeneous.

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  1. Universal degeneracy classes for vector bundles on $\mathbb{P}^1$ bundles

    math.AG 2019-06 unverdicted novelty 6.0

    Universal formulas for degeneracy classes of vector bundles on P^1 bundles in terms of vector bundles on the base, valid in any characteristic when loci are in expected codimension.