ar X iv : 0 90 8 . 19 89 v 1 [ m at h . A G ] 1 3 A ug 2 00 9 D - MODULES ON 1 | 1 SUPERCURVES
نویسنده
چکیده
It is known that to every (1|1) dimensional supercurve X there is associated a dual supercurve X̂ , and a superdiagonal ∆ ⊂ X × X̂. We establish that the categories of D-modules on X , X̂ and ∆ are equivalent. This follows from a more general result about D-modules and purely odd submersions. The equivalences preserve tensor products, and take vector bundles to vector bundles. Line bundles with connection are studied, and examples are given where X is a superelliptic curve.
منابع مشابه
ar X iv : 0 90 8 . 27 37 v 1 [ m at h . G R ] 1 9 A ug 2 00 9 On Bruck Loops of 2 - power Exponent , II ∗
As anounced in [BSS], we show that the non-passive finite simple groups are among the PSL2(q) with q − 1 ≥ 4 a 2-power.
متن کاملar X iv : 0 90 8 . 01 53 v 1 [ m at h . G T ] 2 A ug 2 00 9 On Fibonacci knots
We show that the Conway polynomials of Fibonacci links are Fibonacci polynomials modulo 2. We deduce that, when n 6≡ 0 (mod 4) and (n, j) 6= (3, 3), the Fibonacci knot F (n) j is not a Lissajous knot. keywords: Fibonacci polynomials, Fibonacci knots, continued fractions
متن کاملar X iv : 0 90 1 . 02 18 v 1 [ m at h . R T ] 2 J an 2 00 9 GRADED SPECHT MODULES
Recently, the first two authors have defined a Z-grading on group algebras of symmetric groups and more generally on the cyclotomic Hecke algebras of type G(l, 1, d). In this paper we explain how to grade Specht modules over these algebras.
متن کاملar X iv : 0 80 3 . 44 39 v 2 [ m at h . D S ] 4 A ug 2 00 8 PERIODIC UNIQUE BETA - EXPANSIONS : THE SHARKOVSKIĬ ORDERING
Let β ∈ (1, 2). Each x ∈ [0, 1 β−1 ] can be represented in the form
متن کاملar X iv : 0 90 8 . 10 44 v 1 [ m at h . Q A ] 7 A ug 2 00 9 Modular invariants for group - theoretical modular data
We classify indecomposable commutative separable (special Frobenius) algebras and their local modules in (untwisted) group-theoretical modular categories. This gives a description of modular invariants for grouptheoretical modular data. As a bi-product we provide an answer to the question when (and in how many ways) two group-theoretical modular categories are equivalent as ribbon categories.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009