Frobenius split subvarieties pull back in almost all characteristics
نویسندگان
چکیده
منابع مشابه
On vector bundles destabilized by Frobenius pull-back
Let X be a smooth projective curve of genus g > 1 over an algebraically closed field of positive characteristic. This paper is a study of a natural stratification, defined by the absolute Frobenius morphism of X, on the moduli space of vector bundles. In characteristic two, there is a complete classification of semi-stable bundles of rank 2 which are destabilized by Frobenius pull-back. We also...
متن کاملOn the Number of Compatibly Frobenius Split Subvarieties, Prime F -ideals, and Log Canonical Centers
Let X be a projective Frobenius split variety over an algebraically closed field with splitting θ : F∗OX → OX . In this paper we give a sharp bound on the number of subvarieties of X compatibly split by θ. In particular, suppose L is a sufficiently ample line bundle on X (for example, if L induces a projectively normal embedding) with n = dimH(X,L ). We show that the number of d-dimensional irr...
متن کاملOn Almost Duality for Frobenius Manifolds
We present a universal construction of almost duality for Frobenius manifolds. The analytic setup of this construction is described in details for the case of semisimple Frobenius manifolds. We illustrate the general considerations by examples from the singularity theory, mirror symmetry, the theory of Coxeter groups and Shephard groups, from the Seiberg Witten duality.
متن کاملOn F -Almost Split Sequences
Let Λ be an Artinian algebra and F an additive subbifunctor of ExtΛ(−,−) having enough projectives and injectives. We prove that the dualizing subvarieties of mod Λ closed under F -extensions have F -almost split sequences. Let T be an F -cotilting module in mod Λ and S a cotilting module over Γ = End(T ). Then Hom(−, T ) induces a duality between F -almost split sequences in ⊥F T and almost sp...
متن کاملFlagellar Motility: All Pull Together
Eukaryotic flagella produce a swimming force by coordinating thousands of dynein motor proteins. Recent work provides new clues into how this coordination is achieved.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Commutative Algebra
سال: 2020
ISSN: 1939-2346
DOI: 10.1216/jca.2020.12.573