In mathematics, the theorem of Bertini is an existence and genericity theorem for smooth connected hyperplane sections for smooth projective varieties...

cultivar Theorem of Bertini, an existence and genericity theorem This disambiguation page lists articles associated with the title Bertini. If an internal...

Bernstein's theorem (functional analysis) Berry–Esséen theorem (probability theory) Bertini's theorem (algebraic geometry) Bertrand–Diquet–Puiseux theorem (differential...

Eugenio Bertini (8 November 1846 – 24 February 1933) was an Italian mathematician who introduced Bertini's theorem. He was born at Forlì and died at Pisa...

complement of every closed subset of dimension less than k is connected. It is a local analogue of Bertini's theorem. Zariski connectedness theorem Fulton–Hansen...

are ordinary multiple points (all tangent lines have multiplicity two). Bertini's method is similar to Noether's method. It starts with a plane curve, and...

the isolated complex solutions of polynomial systems having as many equations as variables. The third solver is Bertini, written by D. J. Bates, J. D....

X{\overset {g}{\to }}X} , (Kleiman–Bertini theorem) If V i {\displaystyle V_{i}} are smooth varieties and if the characteristic of the base field k is zero, then...

Noether–Castelnouvo theorem as Hudson (1927) showed that the Cremona group in dimension at least 3 is not generated by its elements of degree bounded by...

systems with Bertini, SIAM 2013 Bertini™ Home Page Bogomolov–Sommese vanishing theorem biographical information from American Men and Women of Science, Thomson...

Bertini. SIAM. pp. 186–187.{{cite book}}: CS1 maint: multiple names: authors list (link) B.H. Dayton, T.-Y. Li and Z. Zeng (2011). "Multiple zeros of...

Bertini, Lorenzo; De Sole, Alberto; Gabrielli, Davide; Jona-Lasinio, Giovanni; Landim, Claudio (2015). "Macroscopic fluctuation theory". Reviews of Modern...

X {\displaystyle X} is regular, Bertini's theorem shows D B ( W ) {\displaystyle DB(W)} is only a finite product of categories. There is a Fourier-Mukai...

Grothendieck also gave his consent to publishing some of his drafts for EGA on Bertini-type theorems (EGA V, published in Ulam Quarterly in 1992–1993 and...

all solutions of f {\displaystyle f} , due to Bertini's theorem. However, this guarantee is not always achieved in practice, because of issues arising...

theory the Riemann–Roch theorem in all its refinements (via the detailed geometry of the theta-divisor). The classification of algebraic surfaces was a...

a polarized K3 surface of degree 2g−2. Under these assumptions, L is basepoint-free. In characteristic zero, Bertini's theorem implies that there is a...

OECD Observatory of Public Sector Innovation. Archived (PDF) from the original on 20 December 2019. Retrieved 9 August 2020. Bertini, M; Del Bimbo, A;...

Hauenstein and C.W. Wampler (2013). Numerically Solving Polynomial Systems with Bertini. SIAM.{{cite book}}: CS1 maint: multiple names: authors list (link)...

Tarski–Seidenberg theorem. Related fields are o-minimal theory and real analytic geometry. Examples: Real plane curves are examples of real algebraic sets...

divided into twelve chapters. Grothendieck's EGA V which deals with Bertini type theorems is to some extent available from the Grothendieck Circle website...

all of dimension dim(V) − 1. What more can be said is addressed by a collection of results known collectively as Bertini's theorem. The topology of hyperplane...

mathematician. He is known for Morera's theorem in the theory of functions of a complex variable and for his work in the theory of linear elasticity. He was born...

University of Bologna as assistant to Federigo Enriques. Then at the University of Pisa as assistant to Eugenio Bertini. In 1904, in consideration of the results...

section. See also: Bertini's theorem. Now, a scheme-theoretic intersection may not be a correct intersection, say, from the point of view of intersection theory...

passed the statute of limitations. The court accepted the prosecutor's request to clear charges of former referees Paolo Bertini, Antonio Dattilo, and...

director Monica Bellucci (born 1964), actress and fashion model Francesca Bertini, silent film actress Nicoletta Braschi (born 1960), actress and producer...

state production of feature & short films; as well as videos and documentaries. It was founded in 1997 by Alfredo & Sandra Bertini, who have been the...

mean speed theorem, which he used in calculating the position and shape of the planetary orbits, measuring the apsidial and axial precession of the lunar...

Another type of application are connectedness theorems such as Grothendieck's connectedness theorem (a local analogue of the Bertini theorem) or the Fulton–Hansen...