File:Barbara Fantechi on Algebraic Geometry at Stanford.jpg
Original file (602 × 789 pixels, file size: 71 KB, MIME type: image/jpeg)
Captions
Summary[edit]
DescriptionBarbara Fantechi on Algebraic Geometry at Stanford.jpg |
English: Barbara Fantechi (Oct. 16, 2020): Infinitesimal deformations of semi-smooth varieties
This is a report on joint work with Marco Franciosi and Rita Pardini. Generalizing the standard definition for surfaces, we call a variety X (over an algebraically closed field of characteristic not 2) {\em semi-smooth} if its singularities are \'etale locally either uv=0 or u^2=v^2w (pinch point); equivalently, if X can be obtained by gluing a smooth variety (the normalization of X) along an involution (with smooth quotient) on a smooth divisor. They are the simplest singularities for non normal, KSBA-stable surfaces. For a semi-smooth variety X, we calculate the tangent sheaf T_X and the infinitesimal deformations sheaf {\mathcal T}^1_X:={\mathcal E}xt^1(\Omega_X,\mathcal O_X) which determine the infinitesimal deformations and smoothability of X. As an application, we use Tziolas' formal smoothability criterion to show that every stable semi-smooth Godeaux surface (classified by Franciosi, Pardini and S\"onke) corresponds to a smooth point of the KSBA moduli space, in the closure of the open locus of smooth surfaces. |
Date | |
Source | Barbara Fantechi (Oct. 16, 2020): Infinitesimal deformations of semi-smooth varieties at 1:00:41, cropped, brightened |
Author | Algebraic Geometry at Stanford |
Licensing[edit]
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
This file, which was originally posted to an external website, has not yet been reviewed by an administrator or reviewer to confirm that the above license is valid. See Category:License review needed for further instructions.
|
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 15:02, 13 September 2022 | 602 × 789 (71 KB) | GRuban (talk | contribs) | {{Information |description={{en|1=Barbara Fantechi (Oct. 16, 2020): Infinitesimal deformations of semi-smooth varieties This is a report on joint work with Marco Franciosi and Rita Pardini. Generalizing the standard definition for surfaces, we call a variety X (over an algebraically closed field of characteristic not 2) {\em semi-smooth} if its singularities are \'etale locally either uv=0 or u^2=v^2w (pinch point); equivalently, if X can be obtained by gluing a smooth variety (the normaliza... |
You cannot overwrite this file.
File usage on Commons
The following page uses this file:
File usage on other wikis
The following other wikis use this file:
- Usage on ca.wikipedia.org
- Usage on de.wikipedia.org
- Usage on en.wikipedia.org
- Usage on es.wikipedia.org
- Usage on fr.wikipedia.org
- Usage on gl.wikipedia.org
- Usage on it.wikipedia.org
- Usage on pt.wikipedia.org
- Usage on www.wikidata.org