-
bidegree ( 2 , 2 ) {\displaystyle (2,2)} ( 2 , 3 ) {\displaystyle (2,3)} ( 2 , 4 ) {\displaystyle (2,4)} ( 2 , 5 ) {\displaystyle (2,5)}
genus 1 2 3 4...
- {\displaystyle \alpha \in \Omega ^{p,q}(X)} is a
complex differential form of
bidegree (p,q) (with p , q ≥ 1 {\displaystyle p,q\geq 1} )
whose class [ α ] ∈ H...
- d_{r}=(d_{r}^{p,q}:E_{r}^{p,q}\to E_{r}^{p+r,q-r+1})_{p,q\in \mathbb {Z} ^{2}}} of
bidegree ( r , 1 − r ) {\displaystyle (r,1-r)} , such that for
every r ≥ r 0 {\displaystyle...
-
bidegree (d1,d2) (meaning d1,d2 are its
intersection degrees with a
fiber of each
projection to P1),
since the
canonical class of P1×P1 has
bidegree (−2...
- southeast,
across each sheet. In the
homological case, the
differentials have
bidegree (−r, r − 1), so they
decrease n by one. In the
cohomological case, n is...
- \omega (\zeta ,z)} is a
differential form in ζ {\displaystyle \zeta } of
bidegree ( n , n − 1 ) {\displaystyle (n,n-1)} ,
defined by ω ( ζ , z ) = ( n −...
- Archaic.
Bezoutiod See Sylvester (1853, Glossary p. 543–548). Archaic.
bidegree An
ordered pair of integers,
giving the
degrees of a form
relative to two...
- if the
index set is a
direct product of sets; the
pairs may be
called "
bidegrees" (e.g. see
Spectral sequence). A I {\displaystyle I} -graded
vector space...
- ^{n}} the Bochner–Martinelli
kernel ω(ζ,z) is a
differential form in ζ of
bidegree (n,n−1)
defined by ω ( ζ , z ) = ( n − 1 ) ! ( 2 π i ) n 1 | z − ζ | 2...
- Dolbeault–Grothendieck
lemma we can find
forms β i {\displaystyle \beta _{i}} of
bidegree ( p , q − 1 ) {\displaystyle (p,q-1)} on Δ i ¯ ⊆ U i {\displaystyle {\overline...
