[Turkmath:5868] ODTU-Bilkent Algebraic Geometry Seminar-Zoom-518

[Ali Sinan Sertöz]

*Welcome to the 2022 Fall talks of ODTU-Bilkent Algebraic Geometry 
Seminars**
*
/since 2000/
**=================================================================**

This week the ODTU-Bilkent Algebraic Geometry Seminar 
<http://www.bilkent.edu.tr/~sertoz/agseminar.htm>  is *online*

/This talk will begin at _*15:40*__ (GMT+3)_/
Please check your time difference between Ankara and your city here 
<https://www.timeanddate.com/worldclock/fixedtime.html?msg=ODT%C3%9C-Bilkent+Algebraic+Geometry+Seminar&iso=20221202T1540&p1=19>
*=================================================================*

**
/Angus Wilson/
**Speaker:Fatma Karaoğlu
****Affiliation: /Gebze Teknik/****
Title:Smooth cubic surfaces with 15 lines

**
**Abstract:**It is well-known that a smooth cubic surface has 27 lines 
over an algebraically closed field. If the field is not closed, however, 
fewer lines are possible. The next possible case is that of smooth cubic 
surfaces with 15 lines. This work is a contribution to the problem of 
classifying smooth cubic surfaces with 15 lines over fields of positive 
characteristic. We present an algorithm to classify such surfaces over 
small finite fields. Our classification algorithm is based on a new 
normal form of the equation of a cubic surface with 15 lines and less 
than 10 Eckardt points. The case of cubic surfaces with more than 10 
Eckardt points is dealt with separately. Classification results for 
fields of order at most 13 are presented and a verification using an 
enumerative formula of Das is performed. Our work is based on a 
generalization of the old result due to Cayley and Salmon that there are 
27 lines if the field is algebraically closed.

*Date:2 December 2022*, *Friday*
*Time: 15:40 /(GMT+3)/*
*Place: **Zoom*

    **One day before the seminar, an announcement with the Zoom meeting
    link will be sent to those who registered with Sertöz.
    **

    **If you have registered before for one of the previous talks, there
    is no need to register again; you will automatically receive a link
    for this talk too.
    **

    **If you have not registered before, please contact him at
    sertoz at bilkent.edu.tr
    <mailto:sertoz at bilkent.edu.tr?subject=Zoom%20Seminar%20Address%20Request>.**


You are most cordially invited to attend.

Ali Sinan Sertöz

------------------------------------------------------------------------

----------------------------------------------------------------------------
Ali Sinan Sertöz
Bilkent University, Department of Mathematics, 06800 Ankara, Türkiye
Office: (90)-(312) - 290 1490
Department: (90)-(312) - 266 4377
Fax: (90)-(312) - 290 1797
e-mail:sertoz at bilkent.edu.tr  
Web:sertoz.bilkent.edu.tr  <http://sertoz.bilkent.edu.tr>  
----------------------------------------------------------------------------
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://yunus.listweb.bilkent.edu.tr/pipermail/turkmath/attachments/20221128/f1708df8/attachment-0001.html>
-------------- next part --------------
A non-text attachment was scrubbed...
Name: PGtzy1ynaSvpyzP0.jpg
Type: image/jpeg
Size: 84447 bytes
Desc: not available
URL: <http://yunus.listweb.bilkent.edu.tr/pipermail/turkmath/attachments/20221128/f1708df8/attachment-0001.jpg>