We use cookies in order to improve the quality and usability of the HSE website. More information about the use of cookies is available here, and the regulations on processing personal data can be found here. By continuing to use the site, you hereby confirm that you have been informed of the use of cookies by the HSE website and agree with our rules for processing personal data. You may disable cookies in your browser settings.

  • A
  • A
  • A
  • ABC
  • ABC
  • ABC
  • А
  • А
  • А
  • А
  • А
Regular version of the site

Motivic Integrals of Orbifolds

Student: Bhamidipati Deewang

Supervisor: Vadim Vologodsky

Faculty: Faculty of Mathematics

Educational Programme: Mathematics (Master)

Year of Graduation: 2019

Given a K3 surface $X$ over $\ff_p$, we compute the Betti Numbers of its Hilbert Scheme of Points in terms of the Betti Number of its Symmetric Powers; and present a proof of an expression of the Poincar{\'e} Polynomial of its Hilbert Scheme of Points in terms of the Poincar{\'e} Polynomial of its Symmetric Powers, as given in \cite[2.2]{lgp}. This is achieved by computing an expression of a Non-Archimedean volume, with respect to a $K$: a Non-Archimedean local field of characteristic $p$, of the Hilbert Scheme of Points of an extension of $X$ over $K$.

Student Theses at HSE must be completed in accordance with the University Rules and regulations specified by each educational programme.

Summaries of all theses must be published and made freely available on the HSE website.

The full text of a thesis can be published in open access on the HSE website only if the authoring student (copyright holder) agrees, or, if the thesis was written by a team of students, if all the co-authors (copyright holders) agree. After a thesis is published on the HSE website, it obtains the status of an online publication.

Student theses are objects of copyright and their use is subject to limitations in accordance with the Russian Federation’s law on intellectual property.

In the event that a thesis is quoted or otherwise used, reference to the author’s name and the source of quotation is required.

Search all student theses