Bibliographic Details
| Title: |
Intersection matrices for special fibers of X0(pr) with r∈{3,4}. |
| Authors: |
Banerjee, Debargha1 (AUTHOR) debargha.banerjee@gmail.com, Chaudhuri, Chitrabhanu2 (AUTHOR) chitrabhanu@niser.ac.in, Majumder, Priyanka3 (AUTHOR) pmpriyanka57@gmail.com |
| Source: |
Journal of Algebra & Its Applications. Sep2026, Vol. 25 Issue 11, p1-50. 50p. |
| Subjects: |
Intersection theory, Matrices (Mathematics), Prime numbers, Sheaf theory, Asymptotic analysis, Riemann surfaces |
| Abstract: |
In this paper, we explicitly compute intersection matrices for modular curves of the form X 0 (p r) with r ∈ { 3 , 4 } and for prime p > 3. As an application, we compute an asymptotic expression for the Arakelov self-intersection number of the relative dualizing sheaf of Edixhoven's minimal regular model for the modular curve X 0 (p r) over ℚ , as p → ∞ and r as above. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
