54,844 research outputs found
Newton-Okounkov bodies on projective bundles over curves
In this article, we study Newton-Okounkov bodies on projective vector bundles
over curves. Inspired by Wolfe's estimates used to compute the volume function
on these varieties, we compute all Newton-Okounkov bodies with respect to
linear flags. Moreover, we characterize semi-stable vector bundles over curves
via Newton-Okounkov bodies.Comment: 28 pages. Final version: to appear in Mathematische Zeitschrif
On singular Fano varieties with a divisor of Picard number one
In this paper we study the geometry of mildly singular Fano varieties on
which there is an effective prime divisor of Picard number one. Afterwards, we
address the case of toric varieties. Finally, we treat the lifting of extremal
contractions to universal covering spaces in codimension 1.Comment: 35 pages. Final version: to appear in Annali della Scuola Normale
Superiore, Classe di Scienz
Partial Derivative Approach for Option Pricing in a Simple Stochastic Volatility Model
We study a market model in which the volatility of the stock may jump at a
random time from a fixed value to another fixed value. This model was already
described in the literature. We present a new approach to the problem, based on
partial derivative equations, which gives a different perspective to the
problem. Within our framework we can easily consider several prescriptions for
the market price of volatility risk, and interpret their financial meaning.
Thus, we recover solutions previously cited in the literature as well as obtain
new ones.Comment: 21 pages, 3 figures, submitted for publicatio
Numerical analysis of fractional charge solutions on the torus
We study by numerical methods a particular kind of SU(N) Yang-Mills solutions
of the Euclidean equations of motion which appear on the torus when twisted
boundary conditions are imposed. These are instanton-like configurations with
the peculiarity of having fractional topological charge. We focus on those
solutions with minimal non-trivial action and extract their
properties in a few different cases, paying special attention to the limit.Comment: 30 pages, 15 figure
Perpetual American options within CTRW's
Continuous-time random walks are a well suited tool for the description of
market behaviour at the smallest scale: the tick-to-tick evolution. We will
apply this kind of market model to the valuation of perpetual American options:
derivatives with no maturity that can be exercised at any time. Our approach
leads to option prices that fulfil financial formulas when canonical
assumptions on the dynamics governing the process are made, but it is still
suitable for more exotic market conditions.Comment: elsart, 12 pages, 2 figures, presented at APFA 6 conference; Revised
and condensed version: 8 page
Exploración de potenciales productos de turismo náutico entre Puerto Mont y el Golfo del Corcovado, X Región, Chile
Tesis (Administrador en Ecoturismo)RESUMEN: Esta memoria consiste en el estudio de la zona comprendida entre Puerto Montt y el
Golfo del Corcovado para determinar potenciales que ofrece el área para el Turismo
Náutico, además contempla una revisión de la industria náutica a nivel mundial y
nacional.
En base a la información recopilada se realiza una evaluación de una propuesta de
modelo de negocios de turismo náutico para el área, en el que se utiliza el supuesto
de la compra de un yate a vela de 35 pies que realiza rutas de navegación por los más
importantes atractivos naturales y culturales de la región. A través de esta evaluación
se comprobó que el turismo náutico en yates no es rentable dentro de los parámetros
que se utilizaron en la evaluación.
Pero también se concluye que los magníficos atributos que posee esta zona son
inigualables lo que habre interesantes oportunidades para el turismo de intereses
especiales y dentro de ellos el Turismo náutico y el Ecoturismo.ABSTRACT: This thesis consists in the study of the area between Puerto Montt and the Corcovado
Gulf to determine the potentials that the area offers to nautical tourism, and it also
contemplates a review ofthe nautical industry at a national and World leve!.
Based on the information gathered, an evaluation is done of a business proposal
model of the nautical tourism for this area, in which a sail yacht of 35 feet is
supposedly bought, navigating the routes through the most important natural and
cultural attractions of the region. Through this evaluation it was proven that the
nautical tourism for yachts is not profitable in the parameters that were used in the
evaluation. But it is also conc1uded that the magnificent attributes that this area has,
are unrivalled, and which opens interesting opportunities for special interests tourism
and in that the nautical tourism and ecoturism
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