𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Modular quintics in ℙ4

✍ Scribed by Christian Meyer

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
142 KB
Volume
259
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We will examine the arithmetic of some of the members of a pencil of symmetric quintics in projective 4‐space. We will give evidence for the modularity of some of the exceptional members (even the non‐rigid ones) and give a proof in one rigid case. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 SIMILAR VOLUMES

On first order congruences of lines in ℙ
On first order congruences of lines in ℙ4 with irreducible fundamental surface
✍ Pietro De Poi 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 242 KB

## Abstract In this article we study congruences of lines in ℙ^__n__^, and in particular of order one. After giving general results, we obtain a complete classification in the case of ℙ^4^ in which the fundamental surface __F__ is in fact a variety, i.e. it is integral, and the congruence is the ir

Quintic Forms overp-adic Fields
Quintic Forms overp-adic Fields
✍ David B. Leep; Charles C. Yeomans 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 288 KB

We prove that a quintic form in 26 variables defined over a p-adic field K always has a nontrivial zero over K if the residue class field of K has at least 47 elements. This is in agreement with the theorem of Ax Kochen which states that a homogeneous form of degree d in d 2 +1 variables defined ove

ℙmax variations related to slaloms
ℙmax variations related to slaloms
✍ Teruyuki Yorioka 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 231 KB

We prove the iteration lemmata, which are the key lemmata to show that extensions by Pmax variations satisfy absoluteness for Π2-statements in the structure H(ω2), ∈, NSω 1 , R for some set R of reals in L(R), for the following statements: (1) The cofinality of the null ideal is ℵ1. (2) There exis

Group Action on Instanton Bundles over ℙ
Group Action on Instanton Bundles over ℙ3
✍ Laura Costa; Giorgio Ottaviani 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 249 KB

Denote by M I(k) the moduli space of k-instanton bundles E of rank 2 on P 3 = P(V ) and by Z k (E) the scheme of k-jumping lines. We prove that We prove also that E is special if and only if Z k (E) is a smooth conic. The action of SL(V ) on the moduli of special instanton bundles is studied in det