?

단축키

Prev이전 문서

Next다음 문서

크게 작게 위로 아래로 댓글로 가기 인쇄
?

단축키

Prev이전 문서

Next다음 문서

크게 작게 위로 아래로 댓글로 가기 인쇄
Extra Form
일정시작 2022-12-02
배경색상 #FF5733
  • Date :  2022-12-02  (Fri) 10:00 AM
  • Place :   Zoom 910 1345 711, Passcode 331303

  • Speaker :  Julie Desjardins (University of Toronto)
  • Title :  Torsion points and concurrent exceptional curves on del Pezzo surfaces of degree one
  • Abstract :

The blow up of the anticanonical base point on X, a del Pezzo surface of degree 1, gives rise to a rational elliptic surface E with only irreducible fibers. The sections of minimal height of E are in correspondence with the 240 exceptional curves on X. A natural question arises when studying the configuration of those curves : 

 

      If a point of X is contained in « many » exceptional curves, it is torsion on its fiber on E?

 

In 2005, Kuwata proved for del Pezzo surfaces of degree 2 (where there is 56 exceptional curves) that if « many » equals 4 or more, then yes. With Rosa Winter, we prove that for del Pezzo surfaces of degree 1, if « many » equals 9 or more, then yes. Additionnally we find counterexamples where a torsion point lies at the intersection lies at the intersection of 7 exceptional curves.

 

 

 


List of Articles
번호 제목 글쓴이 날짜 조회 수
공지 QSMS Mailing List Registration qsms 2021.09.09 2462
142 weekplan_672_2020 secret qsms 2020.11.18 0
141 [초청강연 2020.11.27] Zeta함수와 L함수에 대한 역사적 고찰II qsms 2020.11.23 31822
140 [초청강연 2020.11.20] Zeta함수와 L함수에 대한 역사적 고찰 qsms 2020.11.18 3615
139 [정수론 집중강연 2021.08.03, 08.05] Geometric approaches to the local Langlands correspondence I-IV qsms 2021.07.29 1674
138 [사교위상 초청강연 2021.07.16] Categorical entropy and symplectic geometry qsms 2021.07.05 1465
137 [SNU Number Theory Seminiar] 2021.10.15 qsms 2021.09.09 1211
136 [SNU Number Theory Seminiar] 2021.10.08 qsms 2021.08.23 21520
135 [SNU Number Theory Seminiar 2021.11.12] Moduli of Fontaine-Laffailles and mod-p local-global compatibility file qsms 2021.10.29 1429
134 [SNU Number Theory Seminiar 2021.11.05] Bianchi modular symbols and p-adic L-functions qsms 2021.10.20 1150
133 [SNU Number Theory Seminar 6 ~ 7 Feb] Prismatic F-crystals and applications to p-adic Galois representations qsms 2023.02.13 695
132 [SNU Number Theory Seminar 31 Mar] Height gap theorem and almost law qsms 2023.03.02 661
131 [SNU Number Theory Seminar 30 June] Do Tropical Markov Cubics dream of Hyperbolic Origami? qsms 2023.06.26 669
130 [SNU Number Theory Seminar 21 Apr] Selberg's central limit theorem of L -functions near the critical line qsms 2023.04.20 634
129 [SNU Number Theory Seminar 20220401] Randomness and structure for sums of cubes qsms 2022.03.28 955
128 [SNU Number Theory Seminar 20220321, 0322, 0324] Three lectures on the Eisenstein ideal qsms 2022.03.19 801
127 [SNU Number Theory Seminar 2022.03.18] On p-rationality of $\mathbb{Q}(\zeta_{2l+1})^{+}$ for Sophie Germain primes $l$ qsms 2022.03.19 1026
» [SNU Number Theory Seminar 2022-12-02] Torsion points and concurrent exceptional curves on del Pezzo surfaces of degree one qsms 2022.11.28 693
125 [SNU Number Theory Seminar 2022-11-11] Mixed moments and the joint distribution of random groups qsms 2022.10.24 647
124 [SNU Number Theory Seminar 2022-11-04] Approximations with mod 2 congruence conditions qsms 2022.10.27 717
123 [SNU Number Theory Seminar 2022-09-16] Height-moduli and lower order terms qsms 2022.09.06 672
Board Pagination Prev 1 2 3 4 5 6 7 8 Next
/ 8