Skip to main content
×
Home
    • Aa
    • Aa
  • Access
  • Cited by 4
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Patakfalvi, Zsolt 2014. Arakelov–Parshin rigidity of towers of curve fibrations. Mathematische Zeitschrift, Vol. 278, Issue. 3-4, p. 859.


    Popa, Mihnea and Schnell, Christian 2014. Kodaira dimension and zeros of holomorphic one-forms. Annals of Mathematics, Vol. 179, Issue. 3, p. 1109.


    Kebekus, Stefan and Kovács, Sándor J. 2008. Families of canonically polarized varieties over surfaces. Inventiones mathematicae, Vol. 172, Issue. 3, p. 657.


    Kovács, Sándor J. 2003. Viehweg's Conjecture for Families over ℙn. Communications in Algebra, Vol. 31, Issue. 8, p. 3983.


    ×

Logarithmic Vanishing Theorems and Arakelov–Parshin Boundedness for Singular Varieties

  • Sándor J. Kovács (a1)
  • DOI: http://dx.doi.org/10.1023/A:1015592420937
  • Published online: 01 May 2002
Abstract

This article can be divided into two loosely connected parts. The first part is devoted to proving a singular version of the logarithmic Kodaira–Akizuki–Nakano vanishing theorem of Esnault and Viehweg in the style of Navarro-Aznar et al. This in turn is used to prove other vanishing theorems. In the second part, these vanishing theorems are used to prove an Arakelov–Parshin type boundedness result for families of canonically polarized varieties with rational Gorenstein singularities.

    • Send article to Kindle

      To send this article to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle.

      Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

      Find out more about the Kindle Personal Document Service.

      Logarithmic Vanishing Theorems and Arakelov–Parshin Boundedness for Singular Varieties
      Your Kindle email address
      Available formats
      ×
      Send article to Dropbox

      To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your Dropbox account. Find out more about sending content to Dropbox.

      Logarithmic Vanishing Theorems and Arakelov–Parshin Boundedness for Singular Varieties
      Available formats
      ×
      Send article to Google Drive

      To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your Google Drive account. Find out more about sending content to Google Drive.

      Logarithmic Vanishing Theorems and Arakelov–Parshin Boundedness for Singular Varieties
      Available formats
      ×
Copyright
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Compositio Mathematica
  • ISSN: 0010-437X
  • EISSN: 1570-5846
  • URL: /core/journals/compositio-mathematica
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax

Keywords: