Results 31 to 40 of about 574 (169)

An exploration of affine group laws for elliptic curves

Journal of Mathematical Cryptology, 2011
Several forms of elliptic curves are suggested for an efficient implementation of Elliptic Curve Cryptography. However, a complete description of the group law has not appeared in the literature for most popular forms.
Hisil Huseyin, Wong Kenneth Koon-Ho, Carter Gary, Dawson Ed   +3 more
doaj   +1 more source

The topology of terminal quartic 3-folds

, 2007
Let Y be a quartic hypersurface in P^4 with terminal singularities. The Grothendieck-Lefschetz theorem states that any Cartier divisor on Y is the restriction of a Cartier divisor on P^4 .
Kaloghiros, Anne-Sophie
core   +1 more source

The ordinal of dynamical degrees of birational maps of the projective plane

Comptes Rendus. Mathématique
We show that the ordinal of the dynamical degrees of all birational maps of the complex projective plane is $\omega ^{\omega }$.
Bot, Anna
doaj   +1 more source

BIRATIONAL MAPS OF $3$-FOLDS

Taiwanese Journal of Mathematics, 2015
We show that 3-fold terminal flips and divisorial contractions may be factored into a sequence of flops, blow-downs to a smooth curve in a smooth 3-fold or divisorial contractions to points with minimal discrepancies.
openaire   +4 more sources

Birational maps and Nori motives

, 2023
In this note, we sketch an approach to the problems of equivariant birational geometry developed by M. Kontsevich and Yu. Tschinkel, where Burnside invariants were introduced. We are making explicit the role of Nori constructions in this environment.
Combe, N., Manin, Y., Marcolli, M.
openaire   +3 more sources

On certain K-equivalent birational maps

, 2019
A simple birational map is a K-equivalent birational map which is resolved by a single blowing-up. Examples of such maps include standard flops and twisted Mukai flops.
Duo Li, Li, D.
core   +1 more source

On the degree growth of birational mappings in higher dimension [PDF]

Journal of Geometric Analysis, 2004
Let $f$ be a birational map of ${\bf C}^d$, and consider the degree complexity, or asymptotic degree growth rate $δ(f)=\lim_{n\to\infty}({\rm deg}(f^n))^{1/n}$. We introduce a family of elementary maps, which have the form $f=L\circ J$, where $L$ is (invertible) linear, and $J(x_1,...,x_d)=(x_1^{-1},...,x_d^{-1})$. We develop a method of regularization
Bedford, Eric, Kim, Kyounghee
openaire   +3 more sources

On the Quot scheme QuotSl(E)$\mathrm{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We study the geometry of the Quot scheme QuotSl(E)$\operatorname{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$ of length l$l$ coherent sheaf quotients of a locally free sheaf E$\mathcal {E}$ on a smooth projective surface S$\mathrm{S}$. In particular, we investigate the nature of its singularities, its intersection theory, and the cohomology of ...
Samuel Stark
wiley   +1 more source

Birational Geometry of 3-fold Mori Fibre Spaces [PDF]

, 2004
We study the geography and birational geometry of 3-fold conic bundles over P\(^2\) and cubic del Pezzo fibrations over P\(^1\).
Brown, G., Corti, A., Zucconi, F.
core  

Reconstructing birational maps from their face functions

, 1992
We first prove that any birational map, from an affine space of dimension ≥ 2 to itself, is not determined by its face functions. On the other hand, we prove that a birational map with irreducibly polynomial inverse is completely determined, within the ...
Li, W, Yu, JT
core   +1 more source