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Now showing items 1-10 of 51

#### On the Nẹ́ron-severi lattice of Delsarte surfaces

(Bilkent University, 2016-10)

The Nẹ́ron-Severi group, NS(X), of a given (non-singular projective) variety, X, is defined in only algebro-geometric terms, however it is also known to be an arithmetic invariant. So it is an important study that helps ...

#### Free actions on CW-complexes and varieties of square zero matrices

(Bilkent University, 2011)

Gunnar Carlsson stated a conjecture which gives a lower bound on the rank of a
differential graded module over a polynomial ring with coefficients in algebraically
closed field k when it has a finite dimensional homology ...

#### Schubert calculus, adjoint representation and moment polytopes

(Bilkent University, 2012)

Let Hν denote the irreducible representation of the special unitary group SU(n)
corresponding to Young diagram ν and let g = su(n) denote the Lie algebra
of SU(n). One can show that Hν appears in the symmetric algebra ...

#### Smoothness properties of Green's functions

(Bilkent University, 2014)

Basic notions of potential theory are explained with illustrative examples.
Many important properties, including the characteristic ones, of Green’s functions
that are defined by the help of equilibrium measures are ...

#### Which algebraic K3 surfaces doubly cover an enriques surface: a computational approach

(Bilkent University, 2019-02)

The relationship between K3 Surfaces and Enriques Surfaces is known to mathematicians
for the last 30 years. We examined this relationship from a lattice
theoretical point of view by looking at transcendental lattice of ...

#### Zero sets of analytic function spaces on the unit disk

(Bilkent University, 2018-07)

We survey some known results on the zero sets of two families of analytic function
spaces and another single space de ned on the unit disk in the complex plane.
We investigate mostly the basic properties of the zero sets ...

#### The pandemic fusion system for endomorphism algebras of p-permutation modules

(Bilkent University, 2018-09)

During the 1980's Puig developed a new approach to modular representation
theory, introducing new p-local invariants and thereby extending Green's work on
G-algebras. We investigate the Puig category, commenting on its ...

#### Smoothness of the green function for some special compact sets

(Bilkent University, 2010)

Smoothness of the Green functions for some special compact sets, which are
sequences of closed intervals with certain parameters, is described in terms of the
function ϕ(δ) = 1
log 1
δ
that gives the logarithmic measure ...

#### Monomial Gotzmann sets

(Bilkent University, 2011)

A homogeneous set of monomials in a quotient of the polynomial ring S :=
F[x1, . . . , xn] is called Gotzmann if the size of this set grows minimally when
multiplied with the variables. We note that Gotzmann sets in the ...

#### Canonical induction for trivial source rings

(Bilkent University, 2013)

We discuss the canonical induction formula for some special Mackey functors
by following the construction of Boltje. These functors are the ordinary and
modular character rings and the trivial source rings. Making use ...