Mochizuki’s Crys-stable Bundles: a Lexicon and Applications

نویسندگان

  • BRIAN OSSERMAN
  • Shinichi Mochizuki
چکیده

Mochizuki’s work on torally crys-stable bundles [9] has extensive implications for the theory of logarithmic connections on vector bundles of rank 2 on curves, once the language is translated appropriately. We describe how to carry out this translation, and give two classes of applications: first, one can conclude almost immediately certain results classifying Frobenius-unstable vector bundles on curves; and second, it follows from the results of [13] that one also obtains results on rational functions with prescribed ramification in positive characteristic.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Mochizuki’s indigenous bundles and Ehrhart polynomials

Mochizuki’s work on torally indigenous bundles [1] yields combinatorial identities by degenerating to different curves of the same genus. We rephrase these identities in combinatorial language and strengthen them, giving relations between Ehrhart quasi-polynomials of different polytopes. We then apply the theory of Ehrhart quasi-polynomials to conclude that the number of dormant torally indigen...

متن کامل

Brill–noether Loci of Stable Rank–two Vector Bundles on a General Curve

In this note we give an easy proof of the existence of generically smooth components of the expected dimension of certain Brill–Noether loci of stable rank 2 vector bundles on a curve with general moduli, with related applications to Hilbert scheme of scrolls.

متن کامل

Anatomical Structure Study of Aerial Organs in Four Populations of Urtica dioica L.

Urtica dioica L. is an Iranian native pharmacological plant for which little attention has been paid to the anatomical structure. Medical applications of this plant include diabetes therapy, digestive improvement, anemia and kidney disease therapy. Because climatic conditions can affect the anatomical structure which in turn affects pharmacological compositions, research on the anatomy of this ...

متن کامل

Comparative Photochemistry of Animal Type 1 and Type 4 Cryptochromes†

Cryptochromes (CRYs) are blue-light photoreceptors with known or presumed functions in light-dependent and light-independent gene regulation in plants and animals. Although the photochemistry of plant CRYs has been studied in some detail, the photochemical behavior of animal cryptochromes remains poorly defined in part because it has been difficult to purify animal CRYs with their flavin cofact...

متن کامل

Published vs. Postgraduate Writing in Applied Linguistics: The Case of Lexical Bundles

Abstract: Lexical bundles, as building blocks of coherent discourse, have been the subject of much research in the last two decades. While many of such studies have been mainly concerned with  exploring  variations  in  the  use  of  these  word  sequences  across  different  registers  and disciplines, very few have addressed the use of some particular groups of lexical bundles within some gen...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005