10 BÜCHER, DIE MIT «SMOOTH OVER» IM ZUSAMMENHANG STEHEN
Entdecke den Gebrauch von
smooth over in der folgenden bibliographischen Auswahl. Bücher, die mit
smooth over im Zusammenhang stehen und kurze Auszüge derselben, um seinen Gebrauch in der Literatur kontextbezogen darzustellen.
... a local algebra essentially smooth over A, then B : (A[Y, T]/(f))p, Y = (Y1, ..., Y,,),
where f is a monic polynomial in T over A[Y], P C A[Y, T] is aprime ideal
containing f and 8f/8T ¢ P. Moreover ifB is essentially étale over A then n = 0
above.
If Y = Spec k and k is algebraically closed, then X is smooth over k if and only if X
is regular of dimension n. In particular, if x is irreducible and separated over k,
then it is smooth if and only if it is a nonsingular variety. Cf. (II, 8.8) and (II, 8.15).
3
Algebraic Geometry: Part I: Schemes. With Examples and Exercises
Then G is smooth over k if and only if G is geometrically reduced. Proof. The
condition is clearly necessary. To show that it is sufficient, we may assume that k
is algebraically closed (Remark 6.30 (2)). As G is reduced, Theorem 6.19 shows
that ...
Ulrich Görtz, Torsten Wedhorn, 2010
4
Commutative Ring Theory
Hence also in this case w is an automorphism of L, and w~lv is the required left
inverse of u. • Theorem 28.6. Let k — > A — > B be ring homomorphisms, / an
ideal of B, and suppose that B is /-smooth over k. Set B, = B/I. Then the following ...
5
Elliptic Curves and Arithmetic Invariants
6.2.10 and M1 is smooth over Z[%], MHN) is smooth over Z(p). As seen before, (
Gm acts on MNN), and Y(N)<N I Proj(RF(N)) I Mp(N)/(Gm; so Y(N)<N I Spec(A)
for the degree-0 compo— nent A of RUN). The action of (Gm is free if N Z 3 as ...
6
An Introduction to Homological Algebra
Exercise 9.8.6 Show that if R is smooth over k, then HC(n'\R) = 0 for / < n/2, while
if n/2 < i < n we have HC(,j\R) = //jj?~ Exercise 9.8.7 Show that there is also a
Hodge decomposition for H P,(R): If R is smooth, show that HP±n(R) S Remark ...
7
Moduli of Abelian Varieties
The complement of the subscheme N of P is the smooth locus of P — > S. The
scheme NK is empty and consequently PK is smooth over Spec(K). Moreover, for
any z & N the completion of P at z is of the form Op,: := Five, AJUeEx/(7u/3u - qu)
...
C. Faber, Gerard van der Geer, Frans Oort, 2001
Then there is a polynomial subring B = k[xi,. . . , xr-i] C A such that (i) A/tA is finite
over B (ii) A is smooth over B at the points of S. Proof. Let X = Spec A; then there
is an embedding X C A^ as a smooth, closed subvariety. Let Y — Spec(AftA) C X;
...
9
Differential Geometry, Lie Groups, and Symmetric Spaces
Over ...
Section 4 .4) is smooth over K[e] . (2) Assume F : TM —> TN is smooth over TK.
Then F maps fibers to fibers (i.e., there is a smooth f : M — > N with ttn ° F = f o ttm
) and F acts 'K-affinely from fibers to fibers. (3) The following is an exact and ...
10
Lectures on Resolution of Singularities (AM-166)
Thus there is a smooth point x ∈ X such that Π|Fj+1 is smooth over x. For any
other smooth point x ∈ X, the embeddings (x∈X↩→P) and (x∈X↩→P) have
isomorphic étale neighborhoods. Thus by (3.26.2), Π|Fj+1 is also smooth over x.
8 NACHRICHTEN, IN DENEN DER BEGRIFF «SMOOTH OVER» VORKOMMT
Erfahre, worüber man in den einheimischen und internationalen Medien spricht und wie der Begriff
smooth over im Kontext der folgenden Nachrichten gebraucht wird.
Jonathan Papelbon sees no reason to smooth over issues with the …
CINCINNATI — The day after Jonathan Papelbon all but demanded a trade out of Philadelphia, he saw no reason to think that he needed to mend any ... «NJ.com, Jul 15»
Mayor Tory may not be able to smooth over criticism of police carding
His tendency is to smooth things over. He sees himself as a mediator, bringing people together behind a consensus. Fighting a lonely battle for an unpopular ... «The Globe and Mail, Jun 15»
Biden tries to smooth over anger sparked by Carter's comment
WASHINGTON (AP) — Vice President Joe Biden is reassuring Iraq's government of U.S. support in the fight against the Islamic State group, telephoning Prime ... «Yahoo News UK, Mai 15»
Dublin Rolls Out Mapping Mobile To Smooth Over Rough Streets
Winter takes a toll on the roads you drive every day. To fight back, the city of Dublin hired a company to help them map out a plan of attack to smooth over city ... «10TV, Mär 15»
Can chicken feathers smooth over Winnipeg's pothole problem?
Potholes, the sworn enemy of drivers damage cars, cause nasty coffee spills and cost Manitobans millions of dollars. The City of Winnipeg spent $2.6 million on ... «CBC.ca, Mär 15»
President Obama's visit to smooth over tensions in Saudi Arabia
WASHINGTON — On Tuesday President Barack Obama will visit Saudi Arabia to pay his respects to the family of the now-deceased King Abdullah and to his ... «FOX31 Denver, Jan 15»
China and Japan smooth over East China Sea island row
China and Japan have agreed to try to reduce tensions over a disputed chain of islands in the East China Sea. Beijing officials said a crisis management ... «BBC News, Nov 14»
Obama 'appreciated' Clinton's phone call to smooth over spat
The president and his on-again, off-again rival – or more precisely, their aides -- have been trying to smooth over Clinton's criticism of Obama's foreign policy ... «Los Angeles Times, Aug 14»
