代数幾何講演会

2006年

場所 埼玉大学理工学研究科棟5階・数学研究室


1月24日(火)

3:30 -- 5:00 松田 修氏(津山高専)

Birational classification of curves on irrational ruled surfaces


2月13日(月)

3:30 -- 5:00 米田 二良氏(神奈川工大)

種数8と9の原始的でないワイエルシュトラス半群について


ミニ研究集会:2月21日-22日


4月25日(火)

3:30--5:00 月岡 透氏

On Fano manifolds containing a divisor isomorphic to projective space

6月20日(火)

3:30 -- 5:00 碓氷 久氏(群馬高専)

楕円曲線 y2=x 3+tm+1 のモーデル・ヴェイユ格子


7月11日(火)

吉原久夫氏(新潟大)

3:00 -- 4:00

Galois embeddings of algebraic varieties

4:15 -- 5:15

Galois embeddings of K3 surfaces


Abstract:

In the first half, we introduce a notion of Galois

embeddings of algebraic varieties and present some of

its basic properties. In the latter half, we consider its

application to K3 surfaces. We will see some new properties

of K3 surfaces obtained from this point of view.


太田友明氏(九州共立大)

9月5日(火)

3:00--4:00 Linearization problem for embeddings between affine spaces

4:15--5:15 Normal quartic surfaces as a compactification of C2

Abstract:In the first part, we introduce the linearization problem for embeddings between affine spaces, which was proposed by Abhyankar and Sathaye. In the second part, we consider embeddings of plane into 3-space from a view point of compactifications of C2. We mainly treat normal quartic surfaces in P3 as a compactification of C2.


Prof. Yongnam Lee (Sogang University)

9月12日(火)

3:00--4:00 Stability of bicanonical curves of genus 3

4:15--5:15 Log minimal model program for the moduli space of

stable curves of genus 3

Abstract: This is joint work with D. Hyeon. First, I will talk about the GIT (geometric invariant theory) compactifications of bicanonical curves of genus 3. The Hilbert semistabe curves and the Chow semistable curves will be classified. Then I will explain these GIT compactifications via the log minimal model program for the moduli space of stable curves of genus 3. Five different compactfications of the moduli space of quartic plane curves will be given by the log minimal model program. I will compare them with other known compactfications.

9月13日(水)

3:00--4:00 A simply connected Campedelli surface

Abstract: This is joint work with J. Park. In this talk, I will explain our recent trial of the construction of a simply connected Campedelli surface. Our methods are the Q-Gorenstein  smoothings, the global smoothings, and the rational blow-down surgery.

10月17日(火)

3:30 -- 5:00 岸本 崇氏 (埼玉大学)

A new proof of non-tameness on Nagata automorphism from a point of view of Sarkisov program


11月21日(火)

3:30 -- 5:00 網谷 泰治氏 (早稲田大学)

豊富な因子が Castelnuovo 多様体となる偏極多様体の構造について


12月19日(火)

4:15 -- 5:45 清水勇二氏 (国際基督教大学)

Noncommutative deformation of algebraic surfaces