Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Subscription
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2025, Volume 329, Pages 227–236
DOI: https://doi.org/10.4213/tm4450 (Mi tm4450) 		 
Affine Complements in the Projective Space with Trivial Automorphism Group

A. V. Pukhlikov

Department of Mathematical Sciences, University of Liverpool, Liverpool, UK
Full-text PDF (245 kB) First page English version article
References:
PDF
HTML
DOI: https://doi.org/10.4213/tm4450
Abstract: We construct a new class of affine complements $\mathbb P^M\setminus S$ with trivial automorphism group, where $S\subset \mathbb P^M$ is a rational hypersurface, $M$ is odd, and $M\geq 5$.
Keywords: affine complement, birational map, exceptional divisor.
Funding agency
This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.
Received: April 6, 2024
Revised: July 6, 2024
Accepted: September 15, 2024
Published: 03.09.2025
English version:
Proceedings of the Steklov Institute of Mathematics, 2025, Volume 329, Pages 207–216
DOI: https://doi.org/10.1134/S0081543824602041
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Pukhlikov, “Affine Complements in the Projective Space with Trivial Automorphism Group”, Birational Geometry and Fano Varieties, Collected papers. Dedicated to Yuri Gennadievich Prokhorov on the occasion of his 60th birthday, Trudy Mat. Inst. Steklova, 329, Steklov Math. Inst., Moscow, 2025, 227–236; Proc. Steklov Inst. Math., 329 (2025), 207–216
Citation in format AMSBIB
\Bibitem{Puk25}
\by A.~V.~Pukhlikov
\paper Affine Complements in the Projective Space with Trivial Automorphism Group
\inbook Birational Geometry and Fano Varieties
\bookinfo Collected papers. Dedicated to Yuri Gennadievich Prokhorov on the occasion of his 60th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2025
\vol 329
\pages 227--236
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4450}
\crossref{https://doi.org/10.4213/tm4450}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2025
\vol 329
\pages 207--216
\crossref{https://doi.org/10.1134/S0081543824602041}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=001579427400008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-105017169891}
Linking options:
  • https://www.mathnet.ru/eng/tm4450
  • https://doi.org/10.4213/tm4450
  • https://www.mathnet.ru/eng/tm/v329/p227
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:336
    Full-text PDF :2
    References:55
    First page:30
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2026