Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Lea Terracini"'
Autor:
Lea Terracini, Nadir Murru
Unlike the real case, there are not many studies and general techniques for providing simultaneous approximations in the field of p-adic numbers $$\mathbb Q_p$$ Q p . Here, we study the use of multidimensional continued fractions (MCFs) in this conte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::193696b2264cb49c1f99b7bcf5e2b9ac
https://link.springer.com/article/10.1007/s11139-021-00466-z#rightslink
https://link.springer.com/article/10.1007/s11139-021-00466-z#rightslink
Autor:
Lea Terracini, Michele Rossi
We present two algorithms determining all the complete and simplicial fans admitting a fixed non-degenerate set of vectors $V$ as generators of their 1-skeleton. The interplay of the two algorithms allows us to discerning if the associated toric vari
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca0308792016439be792fee50033b8ec
https://hdl.handle.net/10281/404920
https://hdl.handle.net/10281/404920
Autor:
Lea Terracini, Michele Rossi
Publikováno v:
Journal of Pure and Applied Algebra. 222:2648-2656
This paper is devoted to settle two still open problems, connected with the existence of ample and nef divisors on a Q-factorial complete toric variety. The first problem is about the existence of ample divisors when the Picard number is 2: we give a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::153dff0749eb59825432f648606477fe
https://doi.org/10.1016/j.jpaa.2017.10.012
https://doi.org/10.1016/j.jpaa.2017.10.012
Autor:
Michele Rossi, Lea Terracini
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 197:989-998
After the publication of [2], we realized that Proposition 3.1, in that paper, contains an error, whose consequences are rather pervasive along the whole section 3 and for some aspects of examples 5.1 and 5.2. Here we give a complete account of neede
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::47aa02389ec7ec7d5916787856bd5cef
https://doi.org/10.1007/s10231-017-0698-4
https://doi.org/10.1007/s10231-017-0698-4
Autor:
Nadir Murru, Lea Terracini
Multidimensional continued fractions (MCFs) were introduced by Jacobi and Perron to obtain periodic representations for algebraic irrationals, analogous to the case of simple continued fractions and quadratic irrationals. Continued fractions have bee
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3dba8860ffc4bb21c0bfe9711164c2f1
Autor:
Nadir Murru, Lea Terracini
Multidimensional continued fractions (MCFs) were introduced by Jacobi and Perron in order to generalize the classical continued fractions. In this paper, we propose an introductive fundamental study about MCFs in the field of the $p$--adic numbers $\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84f5caf49476ad38e3aff0f0fd536c9c
http://hdl.handle.net/11572/272201
http://hdl.handle.net/11572/272201
Autor:
Lea Terracini, Michele Rossi
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 196:325-347
We prove that every \(\mathbb {Q}\)-factorial complete toric variety is a finite abelian quotient of a poly weighted space (PWS), as defined in our previous work (Rossi and Terracini in Linear Algebra Appl 495:256–288, 2016. doi:10.1016/j.laa.2016.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b1f8335fe6d52e14c18280d6dc4d8ec2
https://doi.org/10.1007/s10231-016-0574-7
https://doi.org/10.1007/s10231-016-0574-7
Autor:
Lea Terracini, Michele Rossi
Publikováno v:
Linear Algebra and its Applications. 495:256-288
The present paper is devoted to discussing Gale duality from the Z-linear algebraic point of view. This allows us to isolate the class of Q-factorial complete toric varieties whose class group is torsion free, here called poly weighted spaces (PWS),
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4e546f1146e947785853ba97ea53784d
https://doi.org/10.1016/j.laa.2016.01.039
https://doi.org/10.1016/j.laa.2016.01.039
Autor:
Michele Rossi, Lea Terracini
Let $X$ be a $\Q$-factorial complete toric variety over an algebraic closed field of characteristic $0$. There is a canonical injection of the Picard group ${\rm Pic}(X)$ in the group ${\rm Cl}(X)$ of classes of Weil divisors. These two groups are fi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8d4f0ce3987e2c0d615229bf22e40202
Autor:
Michele Rossi, Lea Terracini
The main object of the present paper is a numerical criterion determining when a Weil divisor of a $\Q$--factorial complete toric variety admits a positive multiple Cartier divisor which is either numerically effective (nef) or ample. It is a consequ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6fa7def73f137390bb4a3f8019af9551
http://hdl.handle.net/2318/1616962
http://hdl.handle.net/2318/1616962