On the inertia conjecture and its generalizations/ Soumyadip Das
Material type:
TextPublication details: Bangalore: Indian Statistical Institute, 2020Description: viii, 99 pagesSubject(s): DDC classification: - 23 512.32 D229
- Guided by Prof. Manish Kumar
| Item type | Current library | Call number | Status | Notes | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|---|
| THESIS | ISI Library, Kolkata | 512.32 D229 (Browse shelf(Opens below)) | Available | E-Thesis | TH479 |
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| No cover image available | No cover image available | |||||||
| 512.32 B495 Elliptic curves, Hilbert modular forms and Galois deformations / | 512.32 C877 Galois theory | 512.32 C877 Galois theory | 512.32 D229 On the inertia conjecture and its generalizations/ | 512.32 D286 Arithmetic and geometry around Galois theory / | 512.32 F532 Interval orders and interval graphs : a study of partially ordered sets | 512.32 J37 Algebraic patching |
Thesis (Ph.D.) - Indian Statistical Institute, 2020
Includes bibliographical references
Notation and Convention -- Preliminaries -- Main Problems -- Useful Results towards the Main Problems -- Construction of Covers via different methods -- Proofs of the Main Results
Guided by Prof. Manish Kumar
This thesis concerns problems related to the ramification behaviour of the branched Galois covers of smooth projective connected curves defined over an algebraically closed field of positive characteristic. Our first main problem is the Inertia Conjecture proposed by Abhyankar in 2001. We will show several new evidence for this conjecture. We also formulate a certain generalization of it which is our second problem, and we provide evidence for it
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