Loading [MathJax]/jax/output/CommonHTML/jax.js
Russian Academy of Sciences. Izvestiya Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find






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


Russian Academy of Sciences. Izvestiya Mathematics, 1995, Volume 44, Issue 3, Pages 479–513
DOI: https://doi.org/10.1070/IM1995v044n03ABEH001609
(Mi im788)
 

This article is cited in 47 scientific papers (total in 47 papers)

Exceptional sheaves on del Pezzo surfaces

S. A. Kuleshov, D. O. Orlov
References:
Abstract: In the present paper exceptional sheaves on del Pezzo surfaces are studied, and a description of rigid bundles on these surfaces is given. It is proved that each exceptional sheaf can be included in a complete exceptional collection. Furthermore, it is shown that all such collections can be obtained from each other by means of a sequence of standard operations called transformations.
Received: 03.06.1993
Bibliographic databases:
Document Type: Article
UDC: 512.723
MSC: 14F05, 14J26
Language: English
Original paper language: Russian
Citation: S. A. Kuleshov, D. O. Orlov, “Exceptional sheaves on del Pezzo surfaces”, Russian Acad. Sci. Izv. Math., 44:3 (1995), 479–513
Citation in format AMSBIB
\Bibitem{KulOrl94}
\by S.~A.~Kuleshov, D.~O.~Orlov
\paper Exceptional sheaves on del~Pezzo surfaces
\jour Russian Acad. Sci. Izv. Math.
\yr 1995
\vol 44
\issue 3
\pages 479--513
\mathnet{http://mi.mathnet.ru/eng/im788}
\crossref{https://doi.org/10.1070/IM1995v044n03ABEH001609}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1286839}
\zmath{https://zbmath.org/?q=an:0842.14009}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1995IzMat..44..479K}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RQ68000003}
Linking options:
  • https://www.mathnet.ru/eng/im788
  • https://doi.org/10.1070/IM1995v044n03ABEH001609
  • https://www.mathnet.ru/eng/im/v58/i3/p53
  • This publication is cited in the following 47 articles:
    1. Daniel Levine, Shizhuo Zhang, “Brill–Noether and existence of semistable sheaves for del Pezzo surfaces”, Annales de l'Institut Fourier, 74:3 (2024), 1189  crossref
    2. Tomoki Yoshida, “Full exceptional collections of line bundles on the blow-up of P5 along Segre threefold”, manuscripta math., 2024  crossref
    3. Dae-Won Lee, “Classification of full exceptional collections on smooth toric Fano varieties with Picard rank two”, Advances in Geometry, 23:1 (2023), 25  crossref
    4. Eric Rains, Contemporary Mathematics, 780, Hypergeometry, Integrability and Lie Theory, 2022, 95  crossref
    5. Abe T., “Semistable Sheaves With Symmetric C1 on Del Pezzo Surfaces of Degree 5 and 6”, Eur. J. Math., 7:2 (2021), 526–556  crossref  isi
    6. Beaujard G. Manschot J. Pioline B., “Vafa-Witten Invariants From Exceptional Collections”, Commun. Math. Phys., 385:1 (2021), 101–226  crossref  isi
    7. Alexey Elagin, Junyan Xu, Shizhuo Zhang, “On cyclic strong exceptional collections of line bundles on surfaces”, Eur. J. Math., 7 (2021), 69–115  mathnet  crossref  isi  scopus
    8. Przyjalkowski V. Shramov C., “Hodge Level For Weighted Complete Intersections”, Collect. Math., 71:3 (2020), 549–574  crossref  isi
    9. Shinobu Hosono, Hiromichi Takagi, “Derived categories of Artin–Mumford double solids”, Kyoto J. Math., 60:1 (2020)  crossref
    10. Uehara H., “A Trichotomy For the Autoequivalence Groups on Smooth Projective Surfaces”, Trans. Am. Math. Soc., 371:5 (2019), 3529–3547  crossref  mathscinet  zmath  isi  scopus
    11. Belmans P. Presotto D., “Construction of Non-Commutative Surfaces With Exceptional Collections of Length 4”, J. Lond. Math. Soc.-Second Ser., 98:1 (2018), 85–103  crossref  isi
    12. Auel A. Bernardara M., “Semiorthogonal Decompositions and Birational Geometry of Del Pezzo Surfaces Over Arbitrary Fields”, Proc. London Math. Soc., 117:1 (2018), 1–64  crossref  isi
    13. Chunyi Li, “Deformations of the Hilbert scheme of points on a del Pezzo surface”, Mosc. Math. J., 17:2 (2017), 291–321  mathnet  crossref  mathscinet
    14. TAKESHI ABE, “SEMISTABLE SHEAVES WITH SYMMETRIC ON A QUADRIC SURFACE”, Nagoya Math. J., 227 (2017), 86  crossref
    15. Alexey Elagin, Valery Lunts, “On full exceptional collections of line bundles on del Pezzo surfaces”, Mosc. Math. J., 16:4 (2016), 691–709  mathnet  crossref  mathscinet
    16. Uehara H., “Autoequivalences of derived categories of elliptic surfaces with non-zero Kodaira dimension”, Algebraic Geom., 3:5 (2016), 543–577  crossref  mathscinet  isi
    17. Shiraishi Yu. Takahashi A. Wada K., “On Weyl groups and Artin groups associated to orbifold projective lines”, J. Algebra, 453 (2016), 249–290  crossref  mathscinet  zmath  isi  elib  scopus
    18. Song Yang, “A note on the Rouquier dimensions of product varieties”, J. Algebra Appl., 15:04 (2016), 1650065  crossref
    19. Coughlan S., “Enumerating Exceptional Collections of Line Bundles on Some Surfaces of General Type”, Doc. Math., 20 (2015), 1255–1291  isi
    20. Okawa Sh. Uehara H., “Exceptional Sheaves on the Hirzebruch Surface _{2}”, Int. Math. Res. Notices, 2015, no. 23, 12781–12803  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:912
    Russian version PDF:315
    English version PDF:43
    References:83
    First page:4
     
      Contact us:
    math-net2025_03@mi-ras.ru
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025