TY  - BOOK
AU  - Das,Soumyadip
TI  - On the inertia conjecture and its generalizations
U1  - 512.32  23
PY  - 2020///
CY  - Bangalore
PB  - Indian Statistical Institute
KW  - Mathematics
KW  - Field Theory
KW  - Ramification Behaviour
KW  - Galois Theory
KW  - Inertia Conjecture
N1  - 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
N2  - 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
UR  - http://dspace.isical.ac.in:8080/jspui/handle/10263/7101
ER  -